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Finding the Fourth Proportional to 32,151.80, 48,226.62 and 12,434.52

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Solution

The fourth proportional to 32,151.80, 48,226.62 and 12,434.52 is: 18,651.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,151.80 : 48,226.62 = 12,434.52 : x
  2. Step 2: Convert to fraction form
    32,151.80/48,226.62 = 12,434.52/x
  3. Step 3: Cross multiply
    32,151.80x = 48,226.62 × 12,434.52
  4. Step 4: Simplify right side
    32,151.80x = 599,674,870.92
  5. Step 5: Solve for x
    x = 599,674,870.92/32,151.80
  6. Step 6: Final answer
    x = 18,651.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.